Hi to all the members!
i have been given one problem of finding effective induactance for the coils as drawn in figure between ab terminal.
L1=L2=L3=2H and M=1,
so, how i could get the solution.

 

Your subject line mentions "mutually" coupled coils, but your schematic doesn't show any mutual coupling. Without knowing the mutual inductance, you can't calculate the answer.

 

I have indicated the dots in figure and mutual iductance M=1 for three coils
and this example is given as unsolved to me and i want to get solution of it

 

Series inductance and parallel inductance?

Do you want to know the inductance as measured at the dots?

 

i want effective inductance between terminal A&B.

 

Have you read http://forum.allaboutcircuits.com/showthread.php?t=3002 ?

What have you done to solve the problem, besides posing the question here?

 

Has anyone got a solution for this one. I assumed the OP meant the mutual inductance from any one winding to another was the same value of 1H.

After some laborious algebra I calculated Lab=11/6 H. Anyone concur?

 

Yes, that's what I get also, but shouldn't we ask the OP to show some work before we give the answer?

 

Sure - I agree. I'm guessing the OP's teacher wouldn't be satisfied with the just the unworked answer. From my experience as a student it was always frustrating not to have the 'correct' answer. At least you had a check of your worked result. But we haven't heard from the OP anyway, so I'm also guessing they have moved on.

 

I'm also guessing they have moved on.

Unfortunately that happens, which is why the rules get mentioned so often.

 

Has anyone got a solution for this one. I assumed the OP meant the mutual inductance from any one winding to another was the same value of 1H.

After some laborious algebra I calculated Lab=11/6 H. Anyone concur?

ur answer is right but how u get it?

 

sorry for not replying in time
i was applying KVL in circuit shown in figure.and try to get equation
v=Leqdi/dt

but i get answer by that is 1.25

so plz tell me the procedure to get right answer that is 1.83H

 

Do you know how to write the loop equations for a circuit? Did you try to do this for your problem?

I'll have another look for your response in a few hours.

If you will show the details of how you got 1.25, perhaps we could you find the error in your calculations.